LEFT( {\frac{a}{{{m^2}}},\;\frac{{2a}}{m}} \right)\)\(y = mx + \frac{a}{m}\)\(c = \frac{a}{m}\) ANALYSIS:The equation of tangent is:y = 2X + bComparing with \(y = mx + \frac{a}{m}\) we get:m = 2, a/m = bThe equation of the parabola is:y2 = 8x4a = 8, a = 2∴ a/m = 1/1 = 1The condition of tangency:b = 1

"> LEFT( {\frac{a}{{{m^2}}},\;\frac{{2a}}{m}} \right)\)\(y = mx + \frac{a}{m}\)\(c = \frac{a}{m}\) ANALYSIS:The equation of tangent is:y = 2X + bComparing with \(y = mx + \frac{a}{m}\) we get:m = 2, a/m = bThe equation of the parabola is:y2 = 8x4a = 8, a = 2∴ a/m = 1/1 = 1The condition of tangency:b = 1

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The line y = 2x + b is a tangent to the parabola y2 = 8x, if:

Current Affairs General Awareness in Current Affairs 10 months ago

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Concept:Equation of parabolaPoint of contact in terms of slope (m)Equation of tangent in terms of slopeCondition of tangency\({y^2} = 4ax\)\(\LEFT( {\frac{a}{{{m^2}}},\;\frac{{2a}}{m}} \right)\)\(y = mx + \frac{a}{m}\)\(c = \frac{a}{m}\) ANALYSIS:The equation of tangent is:y = 2X + bComparing with \(y = mx + \frac{a}{m}\) we get:m = 2, a/m = bThe equation of the parabola is:y2 = 8x4a = 8, a = 2∴ a/m = 1/1 = 1The condition of tangency:b = 1

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Posted on 26 Oct 2024, this text provides information on Current Affairs related to General Awareness in Current Affairs. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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